{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import reuireed modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:12:10.249730Z",
     "start_time": "2020-07-02T18:12:08.954311Z"
    }
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "from porousmedialab.column import Column"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initiate the model and domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:12:10.254915Z",
     "start_time": "2020-07-02T18:12:10.251711Z"
    }
   },
   "outputs": [],
   "source": [
    "tend =3\n",
    "dt = 0.0025\n",
    "dx = 0.2\n",
    "L = 10\n",
    "phi=0.99\n",
    "ftc = Column(L, dx, tend, dt, w=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add species"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:12:10.279316Z",
     "start_time": "2020-07-02T18:12:10.257311Z"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "C_init=0.0000001/phi/3\n",
    "ftc.add_species(theta=phi, name='H2CO3', D=50, init_conc=C_init, bc_top_value=0, bc_top_type='flux', bc_bot_value=0, bc_bot_type='flux')\n",
    "ftc.add_species(theta=phi, name='HCO3', D=50, init_conc=C_init, bc_top_value=1e-3, bc_top_type='dirichlet', bc_bot_value=0, bc_bot_type='flux')\n",
    "ftc.add_species(theta=phi, name='CO3', D=50, init_conc=C_init, bc_top_value=0, bc_top_type='flux', bc_bot_value=0, bc_bot_type='flux')\n",
    "\n",
    "ftc.add_acid(species=['H2CO3', 'HCO3', 'CO3'], pKa=[3.6, 10.32])\n",
    "\n",
    "\n",
    "ftc.add_species(theta=phi, name='H2SO4', D=50, init_conc=C_init,  bc_top_value=0, bc_top_type='flux', bc_bot_value=0, bc_bot_type='flux')\n",
    "ftc.add_species(theta=phi, name='HSO4',  D=50, init_conc=C_init,  bc_top_value=0, bc_top_type='flux', bc_bot_value=0, bc_bot_type='flux')\n",
    "ftc.add_species(theta=phi, name='SO4',  D=50, init_conc=C_init,  bc_top_value=1e-6, bc_top_type='dirichlet', bc_bot_value=0, bc_bot_type='flux')\n",
    "\n",
    "ftc.add_acid(species=['H2SO4', 'HSO4', 'SO4'], pKa=[-10, 1.99])\n",
    "\n",
    "ftc.add_species(theta=phi, name='Ca', D=50, init_conc=1e-9, bc_top_value=1e-2, bc_top_type='dirichlet', bc_bot_value=0, bc_bot_type='flux')\n",
    "ftc.add_species(theta=1-phi, name='CaCO3', D=5, init_conc=0., bc_top_value=0.0, bc_top_type='flux', bc_bot_value=0.00, bc_bot_type='flux', w=0.)\n",
    "ftc.add_species(theta=1-phi, name='CaSO4', D=5, init_conc=0., bc_top_value=0.0, bc_top_type='flux', bc_bot_value=0.00, bc_bot_type='flux', w=0.)\n",
    "\n",
    "\n",
    "ftc.add_ion(name='Ca', charge=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add rate constants"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:12:10.283966Z",
     "start_time": "2020-07-02T18:12:10.281199Z"
    }
   },
   "outputs": [],
   "source": [
    "ftc.constants['Ks_CaCO3'] = 3.3e-9\n",
    "ftc.constants['Ks_CaSO4'] = 10**-4.58\n",
    "ftc.constants['k_pre'] = 1e-4\n",
    "ftc.constants['k_dis'] = 1e-3\n",
    "ftc.constants['CF'] = (1-phi)/phi  ### conversion factor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:12:10.289089Z",
     "start_time": "2020-07-02T18:12:10.286083Z"
    }
   },
   "outputs": [],
   "source": [
    "ftc.rates['R_pre_CaCO3'] = 'k_pre * (Ca*CO3/Ks_CaCO3-1)'\n",
    "ftc.rates['R_pre_CaSO4'] = 'k_pre * (Ca*SO4/Ks_CaSO4-1)'\n",
    "ftc.rates['R_dis_CaCO3'] = 'k_dis * CaCO3 * (1 - Ca*CO3/Ks_CaCO3)'\n",
    "ftc.rates['R_dis_CaSO4'] = 'k_dis * CaSO4 * (1 - Ca*SO4/Ks_CaSO4)'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ODE for particular species"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:12:10.293981Z",
     "start_time": "2020-07-02T18:12:10.290977Z"
    }
   },
   "outputs": [],
   "source": [
    "ftc.dcdt['CaCO3'] = 'R_pre_CaCO3/CF - R_dis_CaCO3'\n",
    "ftc.dcdt['Ca'] = '-R_pre_CaCO3 + R_dis_CaCO3*CF - R_pre_CaSO4 + R_dis_CaSO4*CF'\n",
    "ftc.dcdt['CO3'] = '-R_pre_CaCO3 + R_dis_CaCO3*CF'\n",
    "ftc.dcdt['CaSO4'] = 'R_pre_CaSO4/CF - R_dis_CaSO4'\n",
    "ftc.dcdt['SO4'] = '-R_pre_CaSO4 + R_dis_CaSO4*CF'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:14:02.384385Z",
     "start_time": "2020-07-02T18:12:10.295312Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation started:\n",
      "\t 2020-07-02 20:12:10\n",
      "\n",
      "\n",
      "Estimated time of the code execution:\n",
      "\t 0h:01m:22s\n",
      "Will finish approx.:\n",
      "\t 2020-07-02 20:13:39\n"
     ]
    }
   ],
   "source": [
    "ftc.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:14:05.518058Z",
     "start_time": "2020-07-02T18:14:02.387121Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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64J133sEbb7wBufzBd440Gg3s7e0bJDYmAiIifSRAZid7+H4AioqKEBwcrNtWKpVQKpUAgObNmwMAVCoVJk2ahClTplQ5NiAgAGFhYVAoFJgwYQKOHz+Ovn37AgAKCwsRFRWF9957zxhXVA0TARGRkbi6uiI1NbXW+oKCAowfPx5hYWEIDAzUlQsh8Prrr8PJyQkA4OPjg8uXL6Nv3764evUqpk2bhunTp6NHjx4NErdZXx8tKSnB2LFjMWrUKCiVSnz33XfmDIeIqMHcunULERERiIqKwvDhw6vUqVQqDB48GKWlpRBC4PTp0+jSpQuuXbuGyZMnY8mSJfDx8Wmw2MzaI9i0aZNJBkKIiMxt9erVKC4uRnJyMpKTkwEAISEhKCsrg1KpxNSpUzF69GjI5XK8+OKL8PHxwbhx46BWqzF//nwAgEKhwKpVq4wem1kTgakGQoiI/lfGmkcQExODmJiYWuuHDh2KoUOHVilriB/9mpgsEaSkpGDz5s1VyhISEvCXv/ylwQdCiIiodiZLBCEhIQgJCalWboqBECIiqp1ZHw39PhDy0UcfoWPHjuYMhYjIapk1ESxZssQkAyFERFQ7syYC/ugTUWNnDR+d42eoiYisHBMBEZGVYyIgIrJyTfvBFxFRPUmSBJmtYR+ds1TsERARWTkmAiIiK8dEQERk5ThGQESkhyQBdgYuTGOp2CMgIrJyTARERFaOiYCIyMoxERARWTkOFhMR6SFJEuRyDhYTEVE9VVRUICoqCmFhYRg+fDiOHj1abZ+ysjKEhoYiJydHV7ZmzRoolUoEBwcjJSWlQWJjj4CIyATS0tLg4uKCxYsX4/bt2wgKCkL//v119d9//z1mzZqFmzdv6spOnz6N7777Dtu3b0dZWRk2btzYILExERARGUlRURGCg4N120qlEkqlEgDg7+8PPz8/XZ1MVvVxk1qtxsqVKzF9+nRdWXp6Ojw8PDB+/HioVKoqdcbEREBEpEddJpS5uroiNTW1xrrmzZsDAFQqFSZNmoQpU6ZUqff29q52zO3bt/HLL79g9erVuHHjBsaNG4eDBw9CkqQ6XoV+HCMgIjKRgoICjB49GkOGDEFgYOBD93dxcUHPnj0hl8vRpk0b2Nvbo6ioyOhxMREQEZnArVu3EBERgaioKAwfPtygY7y9vfHVV19BCIGbN2+irKwMLi4uRo+Nj4aIiExg9erVKC4uRnJyMpKTkwEAISEhKCsr040j/Le+ffvizJkzGD58OIQQiIuLqza2YAySEEIYvdUGlHX5Cv7UrqO5wyAiC/BTTjY6depUrzZSj32Lhd/cM2jfzUFP1Pt85sBHQ0REVo6JgIjIyjEREBFZOQ4WExHpwYVpiIioyWMiICKyckwERERWjomAiMjKcbCYiEgPSZI4WExERE0bEwERkZXjoyEiIgt2/fr1h+7j7u6ut56JgIhID0kC5HaN9+HJiBEj0KlTJ9T2/dCrV6/i22+/1dsGEwERkQXz8/NDfHx8rfUxMTEPbaPxpjkiInqo3NxcpKWlQa1W11ivL0n8rlEkgpycHHh7e6O8vNzcoRARWZS4uDhcvHgRgwcPRkJCAnJycurchtkfDalUKiQmJkIul5s7FCKiaiRJgty28c4j6NixI2JiYqBWq3H06FEsXLgQ9+/fx/DhwzFkyBCD2jBrj0AIgdjYWEybNg0ODg7mDIWIyCQuXLiA8PDwauVpaWkICgrCsGHDsG3bNgCAVqtFXFwclEolwsPDkZeXV2u7crkcr7zyCuLj4+Hp6Yn58+cbHJPJegQpKSnYvHlzlbKnnnoKgwYNQseOXHqSiJq+devWIS0trcZ/+C5atAiff/45HB0dERAQgICAAJw+fRpqtRo7d+5EZmYmFi5ciFWrVlU79v79+zh06BD27t2LkpISDB8+HMeOHTM4LpMlgpCQEISEhFQp8/X1xZ49e7Bnzx4UFhYiIiICW7duNVVIREQm5ebmhuXLl2P69OnV6jp06ICSkhLY2tpCCAFJknDu3Dn06tULAODp6YlLly5VOy46OhrffPMN+vXrh3fffRedO3euc1xmHSM4fPiw7u/9+vXDxo0bzRgNEVF1NpIEezvJoH2LiooQHBys21YqlVAqlbptPz8/3Lhxo8Zj27dvj2HDhsHBwQG+vr5wdnaGSqWCQqHQ7SOTyVBZWQlb2//8dHfv3h2xsbFV9qsrsw8WExE1Fa6urkhNTa3zcdnZ2fjyyy9x9OhRODo6IioqCgcOHIBCoUBpaaluP61WWyUJAEBJSQlmzpwJR0dHvPzyy+jduzdcXFzqdP5Gkwjq8jyLiKgpcXJyQrNmzWBvbw+ZTAZXV1cUFxfDy8sLx48fx6BBg5CZmQkPD49qx44ZMwZjxoyBSqXCyZMnkZiYiOLiYnTt2hVvv/22QedvNImAiMja7Nu3D/fu3dM9QgoLC4OdnR3c3NwQFBQEW1tbZGRkIDQ0FEIIJCQk1NqWQqHAoEGDMGjQIAghcOHCBYPjkERtH6hopLIuX8Gf2vEtIyJ6uJ9ystGpU6d6tfH5V+ew6V+G7Rv/omO9z1dX/fr1gyRVHcP4fbD56NGjBrXBHgERkR6ShEY9oaxfv364dOkSXnrpJbz66qt46qmn6twGEwERkQWLiYmBVqtFeno6kpOTcffuXQwYMACvvPKKwV9saBTfGiIiov+djY0NevfujUWLFiExMREZGRl46aWXDD6ePQIiIgun1WqRkZGB/fv348qVK+jduzd2795t8PEGJYJdu3Zh8+bNuH//fp0HIYiILJkkSbBvxAvTzJkzB2fOnEGPHj0wYsQIeHl51bkNgxLBjh07sHbtWrRs2bLOJyAiooazfft2uLi44J///Cf++c9/VqlLT083qA2DEsEjjzyCp59+uu4REhFRgzp9+jRatGhRa31xcTGcnZ31tqE3EXzwwQcAALVajTfffBOdO3fWva86bdq0usZLRERGNmHCBGzcuLHWNYvHjx+PLVu26G1DbyJw//+V73//7+/+e/ICEVFTZdPI5xHk5+fD39+/WiKQJKnW5PDf9CaCoKAgAMDcuXMRFxenK58+fTqGDh1a13iJiMjIjPGdNr2JYOvWrVi1ahXu3r2rG4QQQqBdu3b1PjERETUOehPBa6+9htdeew2rV6/G2LFjTRUTERGZkEFvDQ0fPhzz58/H9evX0b59e4wdO1bvKDURUVMhQYKdbeOdR/DfsrOz67z8r0FXN3XqVLi7u+Pdd9/FM888U+Mya0REZHrp6elV/kRHR+v+biiDPzERFhYGAOjYsSMOHjxY92iJiMjokpKSYGNjgw4dOgAAfvvtN+zfvx8A0LNnT4PaMCgRtGnTBmlpafjrX/+KrKwsuLi44Pr16wCqv1pKRESms337dsydOxdeXl4ICQlBeHg4FixYUKc2DEoEubm5yM3NRUpKiq4sLi4OkiThk08+qVvURERkNA4ODliwYAE2btyIuLg4aDSaOrdhUCLYsmULSkpKkJ+fj2effRbNmzev84mIiCyRJAHNDB4s1jZoLPpERETg1KlT2LNnT52PNejqDh06hPDwcERFReHjjz9GcnJynU9ERETAhQsXEB4eXmt9bGwskpKSqpT99ttv8PHxQU5OTo3H5OfnY8WKFUhLS0Pr1q1x48aNOsVkUCLYtGkTdu3aBRcXF/z973/HkSNH6nQSIiIC1q1bh5iYGJSXl9dYv2PHDvzwww9VyioqKhAXF4dmzZrVeMzFixcxduxYPPbYYwgICICrqyvGjh1bp8XrDUoEkiRBLpdDkiRIkgQHBweDT0BEZC2KiooQHBys+7Nz584q9W5ubli+fHmNx3733Xe4cOEClEpllfLExESEhobi8ccfr/G4pUuXYs2aNQgNDUXPnj3x2muvYdWqVfjoo48MjtugMYLu3bsjMjISN2/eRFxcHP785z8bfAIiIktmIwHNbA370KarqytSU1Nrrffz86vxsc2///1vrFixAitWrMCBAwd05ampqXB1dUWvXr2wdu3aGttUq9XVFqx/9tlnoVarDYoZMCARZGdnw8bGBllZWXj11Vfh7Oys9/kWERHVzcGDB3H79m28/fbbKCwsxP3799GmTRvs2bMHkiTh1KlTuHLlCqKjo7Fq1aoqi4RptdUHqIUQxksEBw4cwLp16zBy5EhERUXhl19+wa5du9CqVSsMGDCgDpdJRES1GT16NEaPHg3gQS8gNzdX93jpd+Hh4Zg9e3a1lSJfeuklJCUlYdq0abCxsYFWq8WHH36Il19+2eDz600En3zyCT799FM4OjrqyoKCgjBu3DgmAiKietq3bx/u3btXbVygLt555x0sXboU/fr1g4uLC+7evQt/f39MmTLF4Db0JgJbW9sqSQAAFAoFZLLGu0gDEZEx2UgSmhm8eP3DJ3M988wz2LVrFwAgMDCwWv0fewF/VNsqY7a2toiMjERkZCSKiorg5OQEOzs7A+N9QO/V1bYSWU3PpIiIyPTu3LmDhIQEaLVa3Lp1C6GhoRg5ciRyc3MNbkNvj+DatWuIjIysUiaEqHVSAxERmdacOXPQrVs3AEB8fDxGjRoFDw8PzJ8/Hxs2bDCoDb2JoLb3UENDQ+sYKhERNYTi4mKMHj0aKpUKV69exdChQyFJEsrKygxuQ28i6NGjR72DJCKihnfmzBk8//zzukf6RksERETWrm4fnTO9xx9/HB988AHS09Px97//HSqVCuvXr9etT2CIxnt1RET0ULNnz8aTTz6JyZMnY8CAAbh27RpUKhXi4uIMboM9AiIiC2Zvb4/AwEDY2j74Off09ISnpyfy8/Orvf5fG7P2CDQaDeLj4xEaGorg4GAcP37cnOEQEVmclJQUDBs2DIGBgVi3bp2ufObMmQa3YdZEsHfvXlRWVmLHjh1YtWoV8vLyzBkOEVE1NhLQzE4y6I857Nq1C59//jm++OILZGdnY/Xq1QAevOpvKLM+GkpPT4eHhwfefvttCCEQGxtrznCIiCyOTCaDXC4H8OCT1W+99RaeeeaZWicE18RkiSAlJQWbN2+uUvbII4/A3t4ea9aswZkzZzBz5kxs3brVVCEREVm8bt26YeLEiUhISICTkxOWLl2KMWPG1GmVMpMlgpCQEISEhFQpmzp1Kvr06QNJktCjRw/8+OOPpgqHiKhJiI6OxunTp2Fvbw8AaNGiBbZv347t27cb3IZZHw15e3vjxIkT8PPzQ3Z2Nlq1amXOcIiIqpEkqVHPI/jss88AAAUFBVXKXVxcDG7DrIlgxIgRmDVrFkaMGAEhBObMmWPOcIiILM4fv/22f/9+BAQEAKj9o6E1MWsikMvlWLBggTlDICKyaH/8MGhmZma1D4UaovH2d4iIqE7q0gv4I84sJiLSwwaAvaxp/5uZiYCIyIQuXLiApKSkaiuOHTt2DCtXroStrS2GDRuGESNGoKSkBFOnTkVZWRns7OywePHiamsWT5s2DZIkQQhRbQ2ZJUuWGBQTEwERkYmsW7cOaWlpcHBwqFJeUVGBBQsWYPfu3XBwcMDIkSPRt29ffPHFF/Dw8MD06dOxa9cubNiwATNmzKhy7B/Xh/lf14phIiAiMhE3NzcsX74c06dPr1Kek5MDNzc3tGjRAsCDV+vPnj0LDw8P3ZKTKpVK92G5PzLGujFMBERERlJUVFRl8XmlUgmlUqnb9vPzq3HGr0qlgpOTk267efPmUKlUcHd3R0ZGBgYNGoS7d+822JcXmAiIiPSQJMDexrDBYldXV6Smptb5HAqFAqWlpbrt0tJSODk5YcWKFXjrrbcQGhqK7OxsTJw4Efv27atz+w/TtIfCiYgsQNu2bZGXl4c7d+5ArVbj7Nmz6NatG5ydnXU9hUcffbRKsjAm9giIiMxk3759uHfvHpRKJWbMmIE333wTQggMGzYMTzzxBCZPnoyYmBhs27YNlZWVmDdvXoPEIYm6fLS6Eci6fAV/atfR3GEQkQX4KScbnTp1qlcbGecu4IbNYwbt+5dmxfU+nzmwR0BEpIckSZDLZOYOo0FxjICIyMoxERARWTkmAiIiK8cxAiIiPWwAyA2cR2CpmvbVERHRQzEREBFZOSYCIiIrxzECIiI9HswjaNr/ZsIT2A0AAA3XSURBVG7aV0dERA/FREBEZOWYCIiIrBwTARGRleNgMRGRHhIAe0MHizUNGkqDYY+AiMjKMREQEVk5JgIiIivHMQIiIj0kSYKdoR+ds9AxAiYCIiIT0Gq1mD17Nq5evQq5XI74+Hi0bt0aAHDlyhUkJCTo9s3MzMTKlSvRrl07vPfee9BoNBBCYO7cuWjTpo3RY2MiICIygSNHjkCtVmPnzp3IzMzEwoULsWrVKgBAp06dsGXLFgDAgQMH8Pjjj6N3796Ijo7GqFGjMGDAAHz11Vf44IMPsGLFCqPHxkRARGQC586dQ69evQAAnp6euHTpUrV97t27h+XLl+PTTz8FAERHR8PJyQkAoNFoYG9v3yCxMREQEekhAbC1kQzat6ioCMHBwbptpVIJpVIJAFCpVFAoFLo6mUyGyspK2Nr+52d49+7d8Pf3h6urKwDo/pubm4vExESsXLmyvpdTIyYCIiIjcXV1RWpqao11CoUCpaWlum2tVlslCQDAvn37sGzZsipl33zzDebMmYNFixY1yPgAwNdHiYhMwsvLCydPngTwYDDYw8OjSn1JSQnUajVatWqlK/vmm28wf/58rF+/Hn/+858bLDb2CIiITMDX1xcZGRkIDQ2FEAIJCQnYtGkT3Nzc0L9/f1y/fh1PP/10lWMSEhJQUVGBGTNmAADc3d0xd+5co8cmCSGE0VttQFmXr+BP7TqaOwwisgA/5WSjU6dO9Wrj3IVLkFzcDNrX4V5+vc9nDmbtEZSUlGDq1KkoKyuDnZ0dFi9ejJYtW5ozJCIiq2PWMYLU1FR4eHhg69atGDRoEDZs2GDOcIiIrJJZE4GHh4duFF2lUlUbQSciooZnsl/elJQUbN68uUpZXFwcMjIyMGjQINy9exdbt241VThERPT/TJYIQkJCEBISUqVswoQJeOuttxAaGors7GxMnDgR+/btM1VIREQP9WBCWdN+096sV+fs7KybPv3oo49WmWxBRESmYdaH8pMnT0ZMTAy2bduGyspKzJs3z5zhEBFZJbMmgieeeALr1q0zZwhERFbP4l7TsbD5b0Rk6SQJtjLDPjpnqZr2CAgRET0UEwERkZWzyERQqeHjISIiY7G4MQIiIlOqy8I0Frp2vWX2CIiIyHiYCIiIrJzFJQKODhARGZfFjhFUakSTf7eXiMxPkgCZgb81HCMgIiKLZHGJQAigUqs1dxhERHWi1WoRFxcHpVKJ8PBw5OXlVanfunUrhg0bhuHDh+P48eMAAI1Gg/j4eISGhiI4OFhXbmwW+2iIiMiSHDlyBGq1Gjt37kRmZiYWLlyIVatWAQCKioqwbds2fPbZZygvL0dAQAD69OmDvXv3orKyEjt27MDNmzdx4MCBBomNiYCIyEiKiooQHBys21YqlVAqlQCAc+fOoVevXgAAT09PXLp0Sbefq6sr9u7dC1tbW+Tn58PZ2RmSJCE9PR0eHh54++23IYRAbGxsg8RtcYmAbw0RkSnVZWEaV1dXpKam1linUqmgUCh02zKZDJWVlbolem1tbfHpp59i+fLlCA8PBwDcvn0beXl5WLNmDc6cOYOZM2c2yEqOFjdGAPATE0RkeRQKRZXFt7RabbV12keNGoWvvvoKZ86cwTfffAMXFxf06dMHkiShR48e+PHHHxskNstLBP//GWoOGBORJfHy8sLJkycBAJmZmfDw8NDV5ebmYsKECRBCwM7ODnK5HDY2NvD29saJEycAANnZ2WjVqlWDxGZxj4YAoFLLOQREZFl8fX2RkZGB0NBQCCGQkJCATZs2wc3NDf3790fHjh2hVCohSRJ69eqFHj16wNPTE7NmzcKIESMghMCcOXMaJDZJWNhKL5nfZ6Hls+3RzM4Gzexk5g6HiBqxn3Ky0alTp3q1ceHSZTz2TDuD9i0uyKn3+czB4h4NCcExAiIiY7K4RPA7JgMiIuOwuEQg8J+BYiYDIqL6s7zBYt1bQ0wCRNTw6rIwjaWyyB6Bhj0BIiKjsbxEIB70BvhYiIjIOCwuEWgFkwARkTFZXCL4fbCYM4uJiIzD4gaLNULAhj0CIjIRSUKT/5KBxfUItFqBskoNNBrxoGfApEBEVC+WlwgAlGu0fH2UiMhILC4RVGoEVBWV7AkQERmJxY0RVGgEStQVHCwmIpOoy8I0lsrirq5Sq8Xd8soHYwTsFRAR1ZvF9Qg0WoE7ag3KKjXmDoWIqEmwvB5BpRa/llToBoz55hARUf1YXI+gslKL0vsVUFVUmjsUIrICkiRxHoGxHT58GJGRkbrtzMxMhISEIDQ0FCtWrHjo8ZpKDW4Vl0Ot0bAnQEQWQ6vVIi4uDkqlEuHh4cjLy6tSv2vXLgQHB2PEiBE4fvw4AKCoqAgREREICwvDlClTUFZW1iCxmTQRxMfHY8mSJdD+4Y2fWbNmYcmSJdi+fTsuXLiArKwsvW1oK9T492+lKFazR0BEluPIkSNQq9XYuXMnIiMjsXDhQl1dYWEhtmzZgh07dmDDhg344IMPoFarkZycjMGDB2Pbtm3o3Lkzdu7c2SCxmTQReHl5Yfbs2bptlUoFtVoNNzc3SJKEnj174tSpU/ob0WpQWFiKX0sqOD5ARBbj3Llz6NWrFwDA09MTly5d0tVdvHgR3bp1g1wuh5OTE9zc3JCdnV3lmN69e+Prr79ukNgaZIwgJSUFmzdvrlKWkJCAQYMG4fTp07oylUoFhUKh227evDl+/vlnvW0/5/4YvuhoD6AC6ls/osiokRNRU1JeXl7vNuR2tvgpJ9ugfQsLC/H+++/rtpVKJZRKJYDqv3cymQyVlZWwtbWFSqWCk5OTrq558+ZQqVRVyps3b46SkpJ6X09NGiQRhISEICQk5KH7KRQKlJaW6rZLS0vh7Oys9xhPT896x0dEZKj27dsbvG+nTp3Qu3fvGuv++/dOq9XC1ta2xrrS0lI4OTnpyps1a2bQ7+P/yqyvjyoUCtjZ2eGnn36CEALp6el4/vnnzRkSEVGD8PLywsmTJwE8eEnGw8NDV/eXv/wF586dQ3l5OUpKSpCTkwMPDw94eXnhxIkTAICTJ0/C29u7QWIz++ujc+bMwbvvvguNRoOePXuia9eu5g6JiMjofH19kZGRgdDQUAghkJCQgE2bNsHNzQ39+/dHeHg4wsLCIITA1KlTYW9vj3HjxiE6Ohq7du3CI488giVLljRIbJIQgqOtRERWzOJmFhMRkXExERARWTkmAiIiK8dEYCQPmz4eHx+P4OBghIeHIzw8vMHeB/5fXLhwAeHh4dXKjx07hmHDhkGpVGLXrl1miKx2tcW8adMmBAQE6O5zbm6uGaL7j4qKCkRFRSEsLAzDhw/H0aNHq9Q3xnv8sJgb2z0mIxBkFIcOHRLR0dFCCCG+++47MXbs2Cr1oaGh4rfffjNHaHqtXbtWDB48WISEhFQpV6vVYsCAAeLOnTuivLxcBAcHi3//+99mirKq2mIWQojIyEjx/fffmyGqmu3evVvEx8cLIYQoKioSPj4+urrGeo/1xSxE47vHVH/sERiJvunjWq0WeXl5iIuLQ2hoKHbv3m2uMKtxc3PD8uXLq5Xn5OTAzc0NLVq0gFwuh7e3N86ePWuGCKurLWYAyMrKwtq1azFy5EisWbPGxJFV5+/vj8mTJ+u2ZTKZ7u+N9R7rixlofPeY6s/s8wiaCn3Tx+/du4dRo0ZhzJgx0Gg0GD16NLp06YKOHTuaMeIH/Pz8cOPGjWrltU15bwxqixkAAgICEBYWBoVCgQkTJuD48ePo27eviSP8j+bNmwN4cD8nTZqEKVOm6Ooa6z3WFzPQ+O4x1R97BEaib/q4g4MDRo8eDQcHBygUCrzwwgvIzjbs2yXmUtuU98ZMCIHXX38drq6ukMvl8PHxweXLl80dFgoKCjB69GgMGTIEgYGBuvLGfI9ri7mx3mOqHyYCI9E3ffzHH39EWFgYNBoNKioqcP78eTz33HPmCtUgbdu2RV5eHu7cuQO1Wo2zZ8+iW7du5g5LL5VKhcGDB6O0tBRCCJw+fRpdunQxa0y3bt1CREQEoqKiMHz48Cp1jfUe64u5Md5jqj8+GjKSh00fDwwMxIgRI2BnZ4chQ4bU6UNWprRv3z7cu3cPSqUSM2bMwJtvvgkhBIYNG4YnnnjC3OHV6I8xT506FaNHj4ZcLseLL74IHx8fs8a2evVqFBcXIzk5GcnJyQAefJSxrKys0d7jh8Xc2O4x1R8/MUFEZOX4aIiIyMoxERARWTkmAiIiK8dEQERk5ZgIiIisHF8fpUZr4cKFyMrKQmFhIe7fv49nn30Wtra28Pb2xoQJE8wdHlGTwddHqdFLTU1Fbm4u3n33XXOHQtQksUdAFuX06dPYsWMHPvzwQ/j6+qJbt27Iy8vDCy+8gJKSEly8eBHu7u5YvHgxCgoKEBsbi/Lyctjb22PevHlo1aqVuS+BqNFhIiCLlZ+fj82bN6Nly5bo0aMHUlJSEBsbi/79+6O4uBiJiYkIDw+Hj48PTp06haSkpAZb/JvIkjERkMVycXHBU089BQBwdHREu3btAABOTk4oLy/HDz/8gDVr1mD9+vUQQsDOzs6c4RI1WkwEZLEkSdJb36ZNG0RERMDLyws5OTk4c+aMiSIjsixMBNRkRUdHY/bs2SgvL8f9+/fx/vvvmzskokaJbw0REVk5TigjIrJyTARERFaOiYCIyMoxERARWTkmAiIiK8dEQERk5ZgIiIis3P8BzefEubBjUi0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xxyqVy+VyJCUlwdXVFQCg1WrrZeWBxnHrmYionjg4SHBxlZu0r6enJ1JTUx9Yl5qaCk9PTwwcOBCbN2/+0zkc0KJFCwAV77stLi5G//796xb4AzDhExFZwO7duyFJEk6dOoWffvoJ8+fPx8aNG+Hl5QUA0Ov1WL16NbKzsxEfHw9JksweAxM+EZEFJCYmGv6tUqmwePFiQ7IHgJiYGMjlcmzYsAEODvUz2s6ET0RkJfv370dxcTG6deuGXbt2oXfv3pg8eTIAYNKkSQgICDDr+ZjwiYgsbMeOHQCA9u3bG8oyMjLq/bycpUNEZCfYwyciMkKSJMjljtYOwyzYwycishNM+EREdoIJn4jITjDhExHZCSZ8IiI7wVk6RERGSBIgk3GWDhER2RAmfCIiO8GET0RkJ5jwiYjsBG/aEhEZ4eAgwc1NZu0wzII9fCIiO8GET0RkJzikQ0RkATqdDosWLUJ2djYcHR0RGxsLb29vQ/0PP/yAlStXQggBLy8vrF692uwvMmcPn4jIAo4fPw4ASEpKwhtvvIHY2FhDnRAC0dHRiI2NxWeffYaBAwfi2rVrZo+BPXwiIgsYOnQonn/+eQDAb7/9hhYtWhjqsrOz0bx5cyQkJODy5cvw9/dHu3btzB4DEz4RkRGSJJm8tEJ+fj5CQ0MN20qlEkql0rDt5OSE+fPn48iRI1i/fr2h/M6dO/j+++8RHR2Ntm3bYvr06ejWrRv69etnvg8CJnwiIrPx9PREamqq0X3i4uIwd+5cjB8/HgcOHICbmxuaN2+Otm3bokOHDgCAgQMH4uLFi2ZP+BzDJyKygD179uCjjz4CALi6ukKSJDg6VvxyaNOmDYqKinD16lUAwNmzZ+Hr62v2GNjDJyKygGHDhuHtt9/GxIkTodVqsWDBAnzxxRcoLi6GUqnE8uXLERERASEEevbsaRjvNycmfCIiC3Bzc8O6deuqre/Xrx927dpVrzFwSIeIyE6wh09EZIQkAXJZ4+gbM+ETEdmIv/3tbzXuM2fOnGrrGsTXVmZmJvz8/FBWVmbtUIiIGqwjR47Ax8en2r/09HSj7a3ew1er1YiLi4NcLrd2KEREDZpCocCYMWOqrXdzczPa3qo9/PvrR8yZMweurq7WDIWIqMHbt28fXnzxRfzzn/+EVqutUj98+HCj7S3Ww09JSUFCQkKlsieeeAIjR45Ep06dLBUGEZHN2rNnDy5duoTdu3cjPj4egwcPxvjx49G2bVuT2ktCCFHPMVYrICAAjz/+OADg/Pnz6N69OxITE422ufTvn/BUB35BEFHNfs3MQOfOnet0jLR/ncO2/5i277J+bnU+n6k0Gg3S09ORlpaGsrIyfPzxxzW2seoY/pEjRwz/Hjx4MP7+979bMRoiIttx584d5Obm4tatW/Dx8TGpjdVv2hIRkWlKSkpw+PBhfP755ygoKMC4ceOwdetWNG3a1KT2DSbhHzt2zNohEBE1aAEBARg0aBAiIiLQvXv3WrdvEPPwiYioZgMHDsSAAQPQvn37h2rfYHr4RERk3Lx58/DVV1/hnXfegUajgZ+fHwYNGlTp3bjGMOETERkhSYDcybQ3XtW3Rx55BCEhIQgJCYFWq8WZM2eQmJiIq1evYtOmTTW2Z8InIrIRZ86cqbTt5OSEoUOHmtyeCZ+IyEaoVCp4e3vjmWeeAVCxWgFQ8d7d5557rsb2TPhERBag0+mwaNEiZGdnw9HREbGxsZXG3o8dO4YPP/wQTk5OGDt2LMaPH1/lGLt370ZaWhouXbqEvn37Ijg4GG3atDE5BpMS/s6dO5GQkIDS0lIIISBJEo4ePWrySYiI7N3x48cBAElJSTh9+jRiY2OxceNGAEB5eTliY2Oxa9cuuLq6YsKECRg0aBC8vLwqHaNr167o2rUrhBD45ptvsHHjRty6dQuDBw9GWFhYjTGYlPCTkpKwefPmKicnIqLf5efnIzQ01LCtVCqhVCoBAEOHDjW8p/a3335DixYtDPtlZmbC29sbzZo1AwD4+fnh7NmzeOGFFx54HkmS0LNnT9y+fRt79uxBSkqK+RL+I488gtatW5uyKxFRo+LoIMHDVWbSvp6enkhNTa223snJCfPnz8eRI0ewfv16Q7larYaHh4dhu0mTJlCr1VXal5eX48SJE0hLS8OVK1cwePBgLFy40DxLK9x/u4pGo8HUqVPRpUsXSJIEwPhbVYiI6MHi4uIwd+5cjB8/HgcOHICbmxvc3d1RVFRk2KeoqKjSF8B9f/nLX/DYY48hMDAQoaGhkCQJ165dw7Vr1zBgwIAaz2004d//1vjzt8f9pE9ERKbZs2cPbty4gVdffRWurq6QJAmOjhXz+9u3b4+rV6/i7t27cHNzw9mzZzF16tQqx7g/BTMnJwc5OTmV6uqc8O+/WeXdd99FTEyMoXzevHkICQmp8eBERFRh2LBhePvttzFx4kRotVosWLAAX3zxBYqLi6FUKhEVFYWpU6dCCIGxY8eiZcuWVY4xYMAABAYGVnuOAwcOGK03mvATExOxceNG3Lt3D1988QWAinmfHTp0MPUzEhERKl4/uG7dumrrBw8ejMGDBxs9xvr16x84tg9U5OZPPvnk4RP+xIkTMXHiRGzatAnTp083GggREdWv4OBg5OXlVVsfFBRktL1Js3TGjRuH5cuXIzs7G76+vpg+fbph+hARUWMmQYLMqWEsLDxz5sw6tTfpU8yePRs+Pj6YO3cunnzyScybN69OJyUiIsszeWmF8PBwAECnTp1w6NCheguIiIjqh0k9/Hbt2mHfvn24ceMGjh07hubNmyM7OxvZ2dn1HR8REVVjy5YttdrfpB5+VlYWsrKykJKSYiiLiYmBJEnYvn177SIkIqKHMmfOHMNzUEIInD59GhkZGQCANWvW1NjepIS/Y8cOFBYW4tq1a2jTpg2aNGlSh5CJiOhh+Pr64l//+hdmzZoFBwcHZGVlGdbqMYVJCf/w4cPYuHEjdDodRowYAUmS8Nprrz100EREtkKSABeTZ+no6zWWGTNmoEuXLkhMTMS7776Lpk2bok+fPia3N+lTbNu2DTt37kTz5s3x2muvIT09/aEDJiKih+fv74/IyEhERkaioKCgVm1N6uFLkgS5XA5JkiBJElxdXR8qUCIiqru2bdti3bp1+Oabb2rVzqSE/9xzzyEiIgI3btxATEyM4fVaRERkWR9//DGSk5NRWloKmUyGq1evPnChtQepcUgnIyMDDg4OuHTpEkaNGgVfX19ERUXVOWgiIqqdTz75BFeuXEFqaipOnDiBvXv3IjMzE1u3bjWpvdGEf/DgQSxYsACtW7dGZGQkmjZtip07d3IMn4jshpODhOaujib91bfDhw9jyZIlcHd3BwC4u7tjyZIlOHLkiEntjQ7pbN++Hf/4xz/g5uZmKBszZgxmzJhhWJeZiIgsQyaTwcHBoUqZk5NpiyYY7eE7OTlVSvZAxTfK/UX7iYjIciRJwu3btyuV3bp1q8qXQHWMfi1U92Yrvb5+55oSETU25eXlWLBgAa5duwaNRoMZM2ZgyJAhVfaLjo5Gs2bNMHfu3Cp1M2bMwCuvvILp06fD29sbubm52Lhxo8mvnDWa8H/55RdERERUKhNCIDMz06SDExFRhX379qF58+ZYvXo17ty5gzFjxlRJ+ElJSbh8+TKee+65Bx6jb9++iIuLQ1JSEnbt2oXHH38cS5cuRZcuXUyKwWjCX7t27QPLw8LCTDo4ERFVGDFiBIYPH27Y/vPQ+Pfff48LFy5AqVQiKyur2uP4+voiOjoaAPCf//wHMpnM5BiMJvzaPLJLRNQY1WZphfz8fISGhhq2lUqlYa2b+2uQqdVqvPHGG3jrrbcM+928eRMffPABPvjgAxw8eLDa4588eRILFy7EkSNHsHv3bmzduhWenp5QKBRQKBQ1xmfyevhERGScp6cnUlNTq62/fv06Xn/9dYSHhyM4ONhQfujQIdy5cwfTpk1DXl4eSktL0a5du0pfHkDFQ1c7d+6ETCbD5s2bsW3bNrRq1QoqlYoJn4ioobh16xamTJmCmJgY9OvXr1LdpEmTMGnSJABAamoqsrKyqiR7oGIizWOPPYacnBzIZDK0bdsWQNXhoeow4RMRWcCmTZtQUFCADRs2YMOGDQAAhUKBkpISk5c41mq10Gq1+PLLLzFgwAAAQEFBAUpKSkxqb9WEr9PpEBsbi4sXL0Kj0WDWrFkYNGiQNUMiIqoXixYtwqJFi2rc70E9+/tCQkIwcuRI6HQ6fPLJJ7h8+TLmzp1r+HVQE6sm/L1790Kr1SIpKQk3btwwerOCiMjejRkzBgEBAXBzc4ODgwNu3ryJlStXmmdaZn37+uuv0bFjR0ybNg1CCMNUIyKihsLxv2vpNAR79ux5YPnly5cREhJSY3uLJfyUlBQkJCRUKnvkkUfg7OyMjz76CGfOnMHbb7+NxMRES4VERGRT/vjQ64EDBxAUFAQhRLWrIvyZxRL+g+aJzp49G88//zwkSUKfPn1w5coVS4VDRGRz/rjywfnz501eUuE+U1/UWC/8/Pzw1VdfAahYd79Vq1bWDIeIyGaY2qv/I6sm/PHjx0MIgfHjxyM6OhpLliyxZjhERI2aVW/ayuVyxMbGWjMEIiKbMWfOHEiSBCFElcUt16xZU2N7PnhFRGSEAwBnR6sOhhj8ceHKh1nEkgmfiMhG1HVBy4bxtUVERPWOCZ+IyE4w4RMR2QkmfCIiO8GbtkRERkgS4OzQOPrGjeNTEBFRjZjwiYjsBBM+EZEFXbhwASqVqkr5vn37MGbMGIwdOxaffvppvZybY/hERBayZcsW7Nu3D66urlXqVq1ahbS0NLi5uSEwMBCBgYFo1qyZWc/PHj4RkZnk5+cjNDTU8JecnFyp3tvbG/Hx8Q9s+/TTT6OwsBAajaZWa9zXBnv4RERGOEoS3GUyk/b19PREampqtfXDhw9Hbm7uA+t8fX0xduxYuLq6IiAgAE2bNn2oeI2xuR6+Xghrh0BEZFYZGRn48ssvcfToURw7dgz5+fn18o5vm0v4RESNjYeHB1xcXODs7AxHR0d4enqioKDA7OfhkA4RkZXs378fxcXFUCqVUCqVCA8Ph0wmg7e3N8aMGWP280lC2NYYyY+X/o12vp2tHQYR2YBfMzPQuXPd8sU33/2A2/LHTdq3nePtOp+vPnFIh4jITtjkkE5puQ4uMkdrh0FEdkCSJMgbyBuv6qpxfAoiIqoREz4RkZ1gwicishNM+EREdoIJn4jITtjkLB2AM3WIyDIkAM6mztLR1WsodcYePhGRnbC5hG9bzwUTETUcNpfwiYjo4TDhExHZCZu9aUtEZAkOkgRXJxMniPCmLRERNQQ2mfC1Ot65JSKqLZtM+EREturChQtQqVRVytPS0qBQKBAWFoaYmBjo9Xqzn5sJn4jIQrZs2YJFixahrKysUnlpaSnWrl2L7du3IykpCWq1GsePHzf7+W0u4XMwh4hslbe3N+Lj46uUy+VyJCUlwdXVFQCg1Wrh7Oxs9vPb9CwdLq9ARPVNkgAHR8mkffPz8xEaGmrYvv+u2vuGDx+O3NzcKu0cHBzQokULAMCOHTtQXFyM/v371zHyqqya8AsLCzF79myUlJRAJpNh9erV8PLysmZIREQPzdPTE6mpqQ/VVq/XY/Xq1cjOzkZ8fDwkybQvmdqw6pBOamoqOnbsiMTERIwcORIff/yxyW05U4eIGpOYmBiUlZVhw4YNhqEdc7NqD79jx47IysoCAKjVajg5mRaOVi/g5GD+bz8iIkvav38/iouL0a1bN+zatQu9e/fG5MmTAQCTJk1CQECAWc9nsYSfkpKChISESmUxMTE4efIkRo4ciXv37iExMbHG4wiunkZENuzJJ5/Ezp07AQDBwcGG8oyMjHo/t8USvkKhgEKhqFQ2c+ZMvPzyywgLC0NGRgZmzZqF/fv3WyokIiK7YtUhnaZNm8LDwwMA8Oijj6KoqMia4RARVSFJUqOZDWjVhP/mm29i0aJF+PTTT6HVarF06dJaH4NTM4mITGPVhN+yZUts2bLFmiEQEdkN23vSVlT06omIqHZsLuHfp9Vztg4RUW3YbMInIqLasbm1dNivJ7TkxfgAAAogSURBVCJLkgCTH/Rs6IPNNtnD1/13WQUur0BEZDqbTPhERFR7Npfw7y+twJk6RES1Y3MJH+AMHSKih2GTCf/P2NsnIqqZ7c3SYeeeiCxIkgBHE9941dC7njbZw2ePnoio9mwu4ev/28XX6QS0esGpmUREJrK5IR0iIluk1+uxePFi/Pzzz5DL5Vi2bBnatm1rqP/qq6/w4YcfAgC6dOmCd955x+zvtbW5Hr7A7w9eERHZivT0dGg0GiQnJyMiIgIrV6401KnVaqxevRqbNm3Czp070bp1a9y5c8fsMdhsD59TM4moocnPz0doaKhhW6lUQqlUAgDOnTuHgQMHAgB69OiBixcvGvb7/vvv0bFjR8TFxSEnJwcKhQKenp5mj8/mEr4QAiVaHZrYXuhEZINq88YrT09PpKamPrBOrVbD3d3dsO3o6AitVgsnJyfcuXMHp0+fxp49e+Dm5oaJEyeiR48e8PHxMctnuM/mhnR0nJdJRDbI3d290mtc9Xo9nJwqOq7NmzfHM888Ay8vLzRp0gS9e/fGTz/9ZPYYbC7hA0CZTo/Sch2nZxKRzejVqxdOnDgBADh//jw6duxoqOvWrRsuX76M/Px8aLVaXLhwAR06dDB7DDY3LsIOPhHZooCAAJw8eRJhYWEQQmDFihXYtm0bvL29MWTIEERERODll18GAIwYMaLSF4K52FzC1wPQ6PS/L5GsF3Ay8Sk4IiJrcXBwwLvvvluprH379oZ/BwYGIjAwsH5jqNej1wOdXkBdXm7tMIiIbI7N9fD/SKcTgOy/L0KRWTsaImqMavPGq4bO5nr4QlTctC3R8oYtEVFt2FwPX6sXKIPe2mEQEdkcm+zhAxW9fK1ecGomEZGJbC/hQ+BuiQ4aHXv5RES1YXMJX6cXKNUy2RMR1ZbNjeELAdwt0UFdXo7Sch2cZTb3nUVENkSS0Gie9bG5bKnT6yv18LlUMhGRaWwu4ev1AuVaPcr+MIbPpZKJiGpmkwm/sKQcZX9YXgHge26JiGpikwlfo9XhbgkTPBFRbdjcTdv7PXwAFS9C0dvcRyAiG+JQixegNHQ2ly2FECgq1nJqJhFRLdnekI5Oj+Lictwt0Rlu3HL8noioZhZP+EeOHEFERIRh+/z581AoFAgLC8MHH3xQY3uh06K8XGfo4TPZE5Et0Ov1iImJgVKphEqlwtWrVyvV79y5E6GhoRg/fjyOHz9eLzFYdEhn2bJl+Prrr9G5c2dD2TvvvIP4+Hi0adMG06ZNw6VLl9C1a9fqD6LXoeBeCcq1ei6vQEQ2Iz09HRqNBsnJyTh//jxWrlyJjRs3AgDy8vKwY8cO7N69G2VlZQgPD0f//v0hl8vNGoNFe/i9evXC4sWLDdtqtRoajQbe3t6QJAkDBgzAqVOnajyOtlxruHFLRGQLzp07h4EDBwIAevTogYsXLxrqfvjhB/Ts2RNyuRweHh7w9vZGRkaG2WOolx5+SkoKEhISKpWtWLECI0eOxOnTpw1larUa7u7uhu0mTZogJyfH6LG7PvUojr75xH+3bgPFgKYYuGm26ImosSgrK6vzMeQyJ/yaaVryzcvLw8KFCw3bSqUSSqUSQNV85+joCK1WCycnJ6jVanh4eBjqmjRpArVaXefY/6xeEr5CoYBCoahxP3d3dxQVFRm2i4qK0LRpU6NtevToUef4iIhM5evra/K+nTt3xl//+tcH1v053+n1ejg5OT2wrqioqNIXgLlYdZaOu7s7ZDIZfv31Vwgh8PXXX6N3797WDImIqF706tULJ06cAFAxWaVjx46Guu7du+PcuXMoKytDYWEhMjMzK9Wbi9Xn4S9ZsgRz586FTqfDgAED8Oyzz1o7JCIiswsICMDJkycRFhYGIQRWrFiBbdu2wdvbG0OGDIFKpUJ4eDiEEJg9ezacnZ3NHoMkhODKY0REdsDmHrwiIqKHw4RPRGQnmPCJiOwEE76Z1PTY9LJlyxAaGgqVSgWVSoXCwkIrRVrVhQsXoFKpqpQfO3YMY8eOhVKpxM6dO60QWfWqi3nbtm0IDAw0XOesrCwrRPe78vJyREZGIjw8HOPGjcPRo0cr1TfEa1xTzA3tGlMtCDKLw4cPi/nz5wshhPj+++/F9OnTK9WHhYWJ27dvWyM0ozZv3iyCgoKEQqGoVK7RaMTQoUPF3bt3RVlZmQgNDRU3b960UpSVVRezEEJERESIH3/80QpRPdiuXbvEsmXLhBBC5OfnC39/f0NdQ73GxmIWouFdYzIde/hmYuyxab1ej6tXryImJgZhYWHYtWuXtcKswtvbG/Hx8VXKMzMz4e3tjWbNmkEul8PPzw9nz561QoRVVRczAFy6dAmbN2/GhAkT8NFHH1k4sqpGjBiBN99807Dt6Pj7uuoN9RobixloeNeYTGf1efiNhbHHpouLi/E///M/eOmll6DT6TBp0iR069YNnTp1smLEFYYPH47c3Nwq5ZZ61PthVBczAAQGBiI8PBzu7u6YOXMmjh8/jkGDBlk4wt81adIEQMX1fOONN/DWW28Z6hrqNTYWM9DwrjGZjj18MzH22LSrqysmTZoEV1dXuLu7o2/fvvWyMJI5WepRb3MSQmDy5Mnw9PSEXC6Hv78//v3vf1s7LFy/fh2TJk3C6NGjERwcbChvyNe4upgb6jUm0zDhm4mxx6avXLmC8PBw6HQ6lJeX47vvvjO+BHQD0L59e1y9ehV3796FRqPB2bNn0bNnT2uHZZRarUZQUBCKiooghMDp06fRrVs3q8Z069YtTJkyBZGRkRg3blyluoZ6jY3F3BCvMZmOQzpmUtNj08HBwRg/fjxkMhlGjx5dqwWZLGn//v0oLi6GUqlEVFQUpk6dCiEExo4di5YtW1o7vAf6Y8yzZ8/GpEmTIJfL0a9fP/j7+1s1tk2bNqGgoAAbNmzAhg0bAFQsLlhSUtJgr3FNMTe0a0ym49IKRER2gkM6RER2ggmfiMhOMOETEdkJJnwiIjvBhE9EZCc4LZMarJUrV+LSpUvIy8tDaWkp2rRpAycnJ/j5+WHmzJnWDo/I5nBaJjV4qampyMrKwty5c60dCpFNYw+fbMrp06eRlJSE999/HwEBAejZsyeuXr2Kvn37orCwED/88AN8fHywevVqXL9+HdHR0SgrK4OzszOWLl2KVq1aWfsjEFkNEz7ZrGvXriEhIQFeXl7o06cPUlJSEB0djSFDhqCgoABxcXFQqVTw9/fHqVOn8N5772HNmjXWDpvIapjwyWY1b94cTzzxBADAzc0NHTp0AAB4eHigrKwMly9fxkcffYStW7dCCAGZTGbNcImsjgmfbJYkSUbr27VrhylTpqBXr17IzMzEmTNnLBQZUcPEhE+N1vz587F48WKUlZWhtLQUCxcutHZIRFbFWTpERHaCD14REdkJJnwiIjvBhE9EZCeY8ImI7AQTPhGRnWDCJyKyE0z4RER24v8BGPrwIOEIR6QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ftc.plot_contourplots()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Saturation indeces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:14:05.871256Z",
     "start_time": "2020-07-02T18:14:05.521033Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7faed079b3d0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ftc.plot_saturation_index('Ca','CO3','Ks_CaCO3')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:14:06.225174Z",
     "start_time": "2020-07-02T18:14:05.873144Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7faec0d2fb50>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ftc.plot_saturation_index('Ca','SO4','Ks_CaSO4')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
